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        23.7.1 Recommended magnitudes of harmonic
              disorders
        For safe operation of power and control equipment and
        devices operating in such systems it is essential to limit
        the amplitude of  the voltage distortions to a safe value
        by  installing filter circuits based on the system's actual
        operating conditions. These limits are recommended by
        leading standards organizations are:
        1  UK  engineering  recommendation  - G5/3  (British
          Electricity Council Standard). For harmonic voltage   Figure 23.13 Rise in apparent current due to harmonic
          distortions in the system as in Table 23.2.    quantities
        2  IEEE-519: Guide for harmonic control and reactive
          compensation of static power converters, for harmonic   I, = apparent or current measured by  an ammeter
          voltage  distortions  of  general  and dedicated  power   Ih = actual current due to harmonic distortions
          system, as in Table 23.3.                      All the above are r.m.s. quantities.
                                                          @ = displacement angle between the system voltage
                                                             and  apparent  current,  defining  the  p.f.  of  the
        Table 23.2  Premissible individual and total harmonic voltage   load
        distortions - as in G5/3, UK engineering recommendations
                                                          6 = actual  phase  displacement  due  to  harmonic
                                                             distortions. It is the actual p.f. which is less than
        Nominal system  Individual harmonic voltage   7imd harmonic   measured  for  a  system  containing  harmonic
        voltage     distortions          distortions
                              ~~                             disorders.
        kV          Odd( 70)   Even (lo)   %
                                                         Quantity Ih is composed of two components:
        0.415       4          2         5
        6.6-1 1     3          1.75      4                 One at fundamental frequency. Its displacement with
        33-66       2          I         3                 the fundamental voltage is termed the displacement
        132         1          0.5       I .s              factor, and for a linear voltage and linear load will
                                                           define the p.f. of the load, i.e.

        Table 23.3  Premissible voltage distortions as in IEEE-519 for
        general power systems and dedicated systemsa
                                                           The second component is caused by  the different
        Nominal system    General power     Dediccrred     harmonic quantities present in the system when the
        voltage           systems           rystems        supply  voltage  is  non-linear  or  the  load  is  non-
        kV                lo                96             linear or both. This adds to the fundamental current,
                                                 ~-
                                       ~~~                 I,  and  raises  it  to  Ih. Since  the  active  power
        2.449             5                 8              component  I,  remains  the  same,  it  reduces  the
        1 15 and above    1 .s              1 .s
                                                           p.f.  of  the  system and raises  the  line losses. The
         A dedicated system is one that is servicing only the converters or   factor IJIh is termed the distortion factor. In other
        loads that are not influenced by voltage distortions.   words, it defines the purity  of the sinusoidal wave
                                                           shape.
        23.8 When harmonics will appear in                 :.  cos 6 = displacement factor x distortion factor
              a system
        There are three possible ways in which harmonics may
        appear in a power system:                          For example, if the apparent p.f. is 0.9, a distortion
                                                           factor of 0.85 will reduce it to 0.9 x 0.85 or 0.765.
         1  When the system voltage is linear (an ideal condition   2  When  the  supply  system  itself  contains  harmonics
           that would seldom exist) but  the load is non-linear:   and  the  voltage  is  already  distorted:  now  even the
           The  current  will  be  distorted  and  become  non-   linear loads will  respond to such  voltage harmonics
           sinusoidal.  The  actual  current  I,,  (r.m.s.)  (equation   and draw  harmonic  currents  against each  harmonic
           (23.2)) will  become higher  than could be measured   present in the system, and generate the same order of
           by an ammeter or any other measuring instrument, at   current harmonics.
           the  fundamental  frequency. Figure  23.13 illustrates   3  When the system voltage and the load are both  non-
           the difference between the apparent current, measured   linear:  a  condition  which  is  common.  The  voltage
           by  an instrument, and the actual current, where   harmonics will magnify and additional harmonics may
           1, = active component of the current          generate,  corresponding to  the  non-linearity  of  the
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